Common fixed point results of generalized almost rational contraction mappings with an application
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Date
Authors
Hussain, Nawab
Isik, Huseyin
Abbas, Mujahid
Journal Title
Journal ISSN
Volume Title
Publisher
International Scientific Research Publications
Abstract
In this paper, we introduce the notion of generalized almost rational contraction with respect to a pair of
self mappings on a complete metric space. Several common xed point results for such mappings are proved.
Our results extend and unify various results in the existing literature. An example and application to obtain
the existence of a common solution of the system of functional equations arising in dynamic programming
are also given in order to illustrate the e ectiveness of the presented results.
Description
Keywords
Point of coincidence, Common fixed point, Cyclic admissible mappings, Almost contractions, Weakly compatible mappings, Functional equations
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Citation
Hussain, N, Isik, H & Abbas, M 2016, 'Common fixed point results of generalized almost rational contraction mappings with an application', The Journal of Nonlinear Sciences and its Applications, vol. 9, no. 5, pp. 2273-2288.